When interpreting the odds ratios, I find it helpful to have
the baseline odds. Unfortunately, Stata supresses this by
default, but there is a trick you can use to get it displayed,
which I learned from (Newson 2003).

Thank you to Martin for this very instructive example.

May I also suggest that many people find odds difficult to grasp. I am
fond of illustrating logistic regression models by calculating
predicted probabilities at key values of continuous variables. For
example, I have just finished a paper on worry which calculates
prevalences at ages 65, 75, 85 and 95 in different groups of interest
and displays them graphically.